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Popular >

simplify \sqrt[42]{x^{28}}

Solution

simplify

Solution

x^{\frac{2}{3}}

Solution steps

Apply radical rule:

= (x^{28})^{\frac{1}{42}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= x^{28 \cdot \frac{1}{42}}

28 \cdot \frac{1}{42} = \frac{2}{3}

= x^{\frac{2}{3}}

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Frequently Asked Questions (FAQ)

What is \sqrt[42]{x^{28}} ?
The solution to \sqrt[42]{x^{28}} is x^{2/3}